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Huang, Y. (1998) Estimates of the Hausdorff Dimension and Fractal Dimension of Global Attractors for Nonlinear Wave Equations with Damping. Acta Mathematics Applicatae Sinica, 21, 257-266.

has been cited by the following article:

• TITLE: Estimate on the Dimension of Global Attractor for Nonlinear Higher-Order Coupled Kirchhoff Type Equations

  AUTHORS: Guoguang Lin, Lingjuan Hu

  KEYWORDS: Higher-Order, Kirchhoff-Type Equations, Global Attractor, Hausdorff Dimension, Fractal Dimension

  JOURNAL NAME: Advances in Pure Mathematics, Vol.8 No.1, January 9, 2018

  ABSTRACT: In this paper, we investigate the finite dimensions of the global attractor for nonlinear higher-order coupled Kirchhoff type equations with strong linear damping in Hilbert spaces E0and E1. Under the appropriate assumptions, we acquire a precise estimate of the upper bound for its Hausdorff and Fractal dimensions.